$$ list

Decide whether the statement is true or false.

If $q$ is true, then $(p^{{?}^{?}}(qr))q$ is true.

Choose the correct answer below.

A$.$ This statement is false. The antecedent $(p^{{?}^{?}}(qr))$ is false if both $p$ and $r$ are false.

B$.$ This statement is true. Because $q$ is true, the antecedent $(p^{{?}^{?}}(qr))$ is true.

C$.$ This statement is false. Because $q$ is true, the antecedent $(p^{{?}^{?}}(qr))$ is automatically false.

D$.$ This statement is true. Because $q$ is true, $pq$ is automatically true.